Least Common Multiple of 9899 and 9906

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9899 and 9906 the smallest integer that is 98059494 that is divisible by both numbers.

Least Common Multiple (LCM) of 9899 and 9906 is 98059494.

LCM(9899,9906) = 98059494

LCM of 9899 and 9906

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 9899 and 9906

LCM of 9899 and 9906 is 98059494

Least common multiple can be found by multiplying the highest exponent prime factors of 9899 and 9906. First we will calculate the prime factors of 9899 and 9906.

Prime Factorization of 9899


19 9899
521 521
1

Prime factors of 9899 are 19,521. Prime factorization of 9899 in exponential form is:

9899 = 191×5211

Prime Factorization of 9906


2 9906
3 4953
13 1651
127 127
1

Prime factors of 9906 are 2, 3, 13,127. Prime factorization of 9906 in exponential form is:

9906 = 21×31×131×1271

Now multiplying the highest exponent prime factors to calculate the LCM of 9899 and 9906.

LCM(9899,9906) = 21×31×131×191×1271×5211
LCM(9899,9906) = 98059494

Factors of 9899

List of positive integer factors of 9899 that divides 9899 without a remainder.

1, 19, 521, 9899

Factors of 9906

List of positive integer factors of 9906 that divides 9906 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 127, 254, 381, 762, 1651, 3302, 4953, 9906

Least Common Multiple of 9899 and 9906 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9899 and 9906, than apply into the LCM equation.

GCF(9899,9906) = 1
LCM(9899,9906) = ( 9899 × 9906) / 1
LCM(9899,9906) = 98059494 / 1
LCM(9899,9906) = 98059494

Properties of LCM 9899 and 9906

(i) The LCM of 9906 and 9899 is associative

LCM of 9899 and 9906 = LCM of 9906 and 9899

Related Least Common Multiples of 9899

Related Least Common Multiples of 9906

Frequently Asked Questions on LCM of 9899 and 9906

1. What is the LCM of 9899 and 9906?

Answer: LCM of 9899 and 9906 is 98059494.

2. What are the Factors of 9899?

Answer: Factors of 9899 are 1, 19, 521, 9899. There are 4 integers that are factors of 9899. The greatest factor of 9899 is 9899.

3. What are the Factors of 9906?

Answer: Factors of 9906 are 1, 2, 3, 6, 13, 26, 39, 78, 127, 254, 381, 762, 1651, 3302, 4953, 9906. There are 16 integers that are factors of 9906. The greatest factor of 9906 is 9906.

4. How to Find the LCM of 9899 and 9906?

Answer:

Least Common Multiple of 9899 and 9906 = 98059494

Step 1: Find the prime factorization of 9899

9899 = 19 x 521

Step 2: Find the prime factorization of 9906

9906 = 2 x 3 x 13 x 127

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 98059494 = 2 x 3 x 13 x 19 x 127 x 521

Step 4: Therefore, the least common multiple of 9899 and 9906 is 98059494.